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Finding the Fourth Proportional to 157,236.42, 216,986.11 and 85,616.95

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Solution

The fourth proportional to 157,236.42, 216,986.11 and 85,616.95 is: 118,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,236.42 : 216,986.11 = 85,616.95 : x
  2. Step 2: Convert to fraction form
    157,236.42/216,986.11 = 85,616.95/x
  3. Step 3: Cross multiply
    157,236.42x = 216,986.11 × 85,616.95
  4. Step 4: Simplify right side
    157,236.42x = 18,577,688,761.50
  5. Step 5: Solve for x
    x = 18,577,688,761.50/157,236.42
  6. Step 6: Final answer
    x = 118,151.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.